Step by step
The question
Question: find ∛64.
3√64
The small 3 says how many times.
∛64 asks: which number, times itself 3 times, makes 64?
? × ? × ? = 64
1 List the cubes
Cubes are a number times itself 3 times.
2 × 2 × 2 is 8.
3 × 3 × 3 is 27.
4 × 4 × 4 is 64.
Cubes: 23 = 8, 33 = 27, 43 = 64
64 is in the list: 4 × 4 × 4 is 64.
4 × 4 × 4 = 64
So ∛64 = 4.
= 4
2 Check
Let's check: 4 times itself 3 times.
We get 64.
So the answer is right!
4 × 4 × 4 = 64
Let's look back.
First: list the cubes.
Last: check.
Answer
= 4